{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "46923f2d-a756-48ee-bfaa-3ab42ecfb5a7",
   "metadata": {},
   "source": [
    "Chapter 21\n",
    "# 度分析\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9cd10673-6ea8-4ada-866f-c5903c8785e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "230312a5-8498-4ecd-8ddd-f6708a2ea35e",
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.gnp_random_graph(100, 0.02, seed=8)\n",
    "# 创建随机图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bcc910b4-b208-49ad-9c8a-3d3b3968d606",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "pos = nx.spring_layout(G, seed = 8)\n",
    "nx.draw_networkx(G, pos, \n",
    "                 with_labels = False,\n",
    "                 node_size=20)\n",
    "plt.savefig('全图.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d52b9107-8c3e-4cd9-9ba6-0d9c366be9b3",
   "metadata": {},
   "source": [
    "## 连通分量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6cc7d67c-8a6a-44c8-a956-abc6245923ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "Gcc = G.subgraph(sorted(nx.connected_components(G), \n",
    "                        key=len, reverse=True)[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5126ab0b-3371-4e36-a54e-1de376588f7f",
   "metadata": {},
   "outputs": [],
   "source": [
    "num_nodes = [len(c) for c in \n",
    "             sorted(nx.connected_components(G), \n",
    "                    key=len, reverse=True)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "df5a36a4-9e62-4a27-add1-efa214ef1ba4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[84, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_nodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4a20cef6-8cc5-45a7-a6cf-1c15ecd67921",
   "metadata": {},
   "outputs": [],
   "source": [
    "pos_Gcc = {k: pos[k] for k in list(Gcc.nodes())}\n",
    "# 取出子图节点坐标"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "28c33d92-26ae-4458-87cf-1277a92134a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(Gcc, pos_Gcc, \n",
    "                 with_labels = False,\n",
    "                 node_size=20)\n",
    "plt.savefig('最大连通分量.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64ea6980-bd77-45c2-b293-b1bd0328ef0c",
   "metadata": {},
   "source": [
    "## 度分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "59ebf3cb-61a6-4f61-a8a9-79a2745f9164",
   "metadata": {},
   "outputs": [],
   "source": [
    "degree_sequence = sorted((d for n, d in G.degree()), \n",
    "                         reverse=True)\n",
    "# 度数大小排序"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0ba459e3-0eae-4b58-9a09-e105fea1455f",
   "metadata": {},
   "outputs": [],
   "source": [
    "dmax = max(degree_sequence)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "15b8cd73-09b2-4240-baab-ea2c6be051e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "dict_degree = dict(G.degree())\n",
    "# 将结果转为字典"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b24575e3-975c-4407-86ca-410d4b7bd092",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0, 1, 2, 3, 4, 5, 8}"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "set(degree_sequence)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "74f6f1ec-a4ff-429d-87b2-e191be1fb965",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (6,3))\n",
    "ax.plot(degree_sequence, \"b-\", marker=\"o\")\n",
    "ax.set_ylabel(\"Degree\")\n",
    "ax.set_xlabel(\"Rank\")\n",
    "ax.set_xlim(0,100)\n",
    "ax.set_ylim(0,8)\n",
    "plt.savefig('度数等级图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "730de019-cbb1-46fe-9ebd-8c4234e0a7d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (6,3))\n",
    "ax.bar(*np.unique(degree_sequence, return_counts=True))\n",
    "ax.set_xlabel(\"Degree\")\n",
    "ax.set_ylabel(\"Number of Nodes\")\n",
    "plt.savefig('度数柱状图.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "771bb003-6499-465e-93c0-f158587e4015",
   "metadata": {},
   "source": [
    "## 根据度数渲染节点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a053e6ac-7adc-4b88-9f41-4d1b09ecc690",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 自定义函数，过滤dict\n",
    "def filter_value(dict_, unique):\n",
    "    \n",
    "    newDict = {}\n",
    "    for (key, value) in dict_.items():\n",
    "        if value == unique:\n",
    "            newDict[key] = value\n",
    "            \n",
    "    return newDict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "968e5011-b006-40fa-9239-72c9c1dff684",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 根据度数大小渲染节点\n",
    "unique_deg = set(degree_sequence)\n",
    "# 取出节点度数独特值\n",
    "\n",
    "colors = plt.cm.RdYlBu_r(np.linspace(0, 1, len(unique_deg)))\n",
    "# 独特值的颜色映射\n",
    "\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx_edges(G, pos)\n",
    "# 绘制图的边\n",
    "\n",
    "# 分别绘制不同度数节点\n",
    "for deg_i, color_i in zip(unique_deg,colors):\n",
    "    \n",
    "    dict_i = filter_value(dict_degree,deg_i)\n",
    "    nx.draw_networkx_nodes(G, pos, \n",
    "                           nodelist = list(dict_i.keys()), \n",
    "                           node_size=20,\n",
    "                           node_color = color_i)\n",
    "plt.savefig('根据度数大小渲染节点.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "557b860f-80d7-450e-9390-1026d5e858dd",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "197ecffa-ae20-4439-aa7c-0b3cede1b12f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "b9162e1a-5872-43ae-8388-c0a80cf2f24e",
   "metadata": {},
   "source": [
    "参考：\n",
    "https://networkx.org/documentation/stable/auto_examples/drawing/plot_degree.html"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
